| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C22×C3⋊S3) = C2×C12.D6 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 144 | | C2^2.1(C2^2xC3:S3) | 288,1008 |
| C22.2(C22×C3⋊S3) = C4○D4×C3⋊S3 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 72 | | C2^2.2(C2^2xC3:S3) | 288,1013 |
| C22.3(C22×C3⋊S3) = C62.154C23 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 72 | | C2^2.3(C2^2xC3:S3) | 288,1014 |
| C22.4(C22×C3⋊S3) = C32⋊92- 1+4 | φ: C22×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C22 | 144 | | C2^2.4(C2^2xC3:S3) | 288,1015 |
| C22.5(C22×C3⋊S3) = C2×C12.59D6 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C22 | 144 | | C2^2.5(C2^2xC3:S3) | 288,1006 |
| C22.6(C22×C3⋊S3) = C32⋊82+ 1+4 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C22 | 72 | | C2^2.6(C2^2xC3:S3) | 288,1009 |
| C22.7(C22×C3⋊S3) = C32⋊72- 1+4 | φ: C22×C3⋊S3/C62 → C2 ⊆ Aut C22 | 144 | | C2^2.7(C2^2xC3:S3) | 288,1012 |
| C22.8(C22×C3⋊S3) = C4×C32⋊4Q8 | central extension (φ=1) | 288 | | C2^2.8(C2^2xC3:S3) | 288,725 |
| C22.9(C22×C3⋊S3) = C42×C3⋊S3 | central extension (φ=1) | 144 | | C2^2.9(C2^2xC3:S3) | 288,728 |
| C22.10(C22×C3⋊S3) = C122⋊16C2 | central extension (φ=1) | 144 | | C2^2.10(C2^2xC3:S3) | 288,729 |
| C22.11(C22×C3⋊S3) = C4×C12⋊S3 | central extension (φ=1) | 144 | | C2^2.11(C2^2xC3:S3) | 288,730 |
| C22.12(C22×C3⋊S3) = C62.221C23 | central extension (φ=1) | 144 | | C2^2.12(C2^2xC3:S3) | 288,734 |
| C22.13(C22×C3⋊S3) = C22⋊C4×C3⋊S3 | central extension (φ=1) | 72 | | C2^2.13(C2^2xC3:S3) | 288,737 |
| C22.14(C22×C3⋊S3) = C62.225C23 | central extension (φ=1) | 144 | | C2^2.14(C2^2xC3:S3) | 288,738 |
| C22.15(C22×C3⋊S3) = C62.231C23 | central extension (φ=1) | 288 | | C2^2.15(C2^2xC3:S3) | 288,744 |
| C22.16(C22×C3⋊S3) = C4⋊C4×C3⋊S3 | central extension (φ=1) | 144 | | C2^2.16(C2^2xC3:S3) | 288,748 |
| C22.17(C22×C3⋊S3) = C62.236C23 | central extension (φ=1) | 144 | | C2^2.17(C2^2xC3:S3) | 288,749 |
| C22.18(C22×C3⋊S3) = C62.237C23 | central extension (φ=1) | 144 | | C2^2.18(C2^2xC3:S3) | 288,750 |
| C22.19(C22×C3⋊S3) = C2×C4×C3⋊Dic3 | central extension (φ=1) | 288 | | C2^2.19(C2^2xC3:S3) | 288,779 |
| C22.20(C22×C3⋊S3) = C2×C6.Dic6 | central extension (φ=1) | 288 | | C2^2.20(C2^2xC3:S3) | 288,780 |
| C22.21(C22×C3⋊S3) = C2×C12⋊Dic3 | central extension (φ=1) | 288 | | C2^2.21(C2^2xC3:S3) | 288,782 |
| C22.22(C22×C3⋊S3) = C62.247C23 | central extension (φ=1) | 144 | | C2^2.22(C2^2xC3:S3) | 288,783 |
| C22.23(C22×C3⋊S3) = C2×C6.11D12 | central extension (φ=1) | 144 | | C2^2.23(C2^2xC3:S3) | 288,784 |
| C22.24(C22×C3⋊S3) = C4×C32⋊7D4 | central extension (φ=1) | 144 | | C2^2.24(C2^2xC3:S3) | 288,785 |
| C22.25(C22×C3⋊S3) = D4×C3⋊Dic3 | central extension (φ=1) | 144 | | C2^2.25(C2^2xC3:S3) | 288,791 |
| C22.26(C22×C3⋊S3) = Q8×C3⋊Dic3 | central extension (φ=1) | 288 | | C2^2.26(C2^2xC3:S3) | 288,802 |
| C22.27(C22×C3⋊S3) = C2×C62⋊5C4 | central extension (φ=1) | 144 | | C2^2.27(C2^2xC3:S3) | 288,809 |
| C22.28(C22×C3⋊S3) = C22×C32⋊4Q8 | central extension (φ=1) | 288 | | C2^2.28(C2^2xC3:S3) | 288,1003 |
| C22.29(C22×C3⋊S3) = C22×C4×C3⋊S3 | central extension (φ=1) | 144 | | C2^2.29(C2^2xC3:S3) | 288,1004 |
| C22.30(C22×C3⋊S3) = C22×C12⋊S3 | central extension (φ=1) | 144 | | C2^2.30(C2^2xC3:S3) | 288,1005 |
| C22.31(C22×C3⋊S3) = C2×Q8×C3⋊S3 | central extension (φ=1) | 144 | | C2^2.31(C2^2xC3:S3) | 288,1010 |
| C22.32(C22×C3⋊S3) = C2×C12.26D6 | central extension (φ=1) | 144 | | C2^2.32(C2^2xC3:S3) | 288,1011 |
| C22.33(C22×C3⋊S3) = C23×C3⋊Dic3 | central extension (φ=1) | 288 | | C2^2.33(C2^2xC3:S3) | 288,1016 |
| C22.34(C22×C3⋊S3) = C12⋊6Dic6 | central stem extension (φ=1) | 288 | | C2^2.34(C2^2xC3:S3) | 288,726 |
| C22.35(C22×C3⋊S3) = C12.25Dic6 | central stem extension (φ=1) | 288 | | C2^2.35(C2^2xC3:S3) | 288,727 |
| C22.36(C22×C3⋊S3) = C12⋊4D12 | central stem extension (φ=1) | 144 | | C2^2.36(C2^2xC3:S3) | 288,731 |
| C22.37(C22×C3⋊S3) = C122⋊6C2 | central stem extension (φ=1) | 144 | | C2^2.37(C2^2xC3:S3) | 288,732 |
| C22.38(C22×C3⋊S3) = C122⋊2C2 | central stem extension (φ=1) | 144 | | C2^2.38(C2^2xC3:S3) | 288,733 |
| C22.39(C22×C3⋊S3) = C62⋊6Q8 | central stem extension (φ=1) | 144 | | C2^2.39(C2^2xC3:S3) | 288,735 |
| C22.40(C22×C3⋊S3) = C62.223C23 | central stem extension (φ=1) | 144 | | C2^2.40(C2^2xC3:S3) | 288,736 |
| C22.41(C22×C3⋊S3) = C62⋊12D4 | central stem extension (φ=1) | 72 | | C2^2.41(C2^2xC3:S3) | 288,739 |
| C22.42(C22×C3⋊S3) = C62.227C23 | central stem extension (φ=1) | 144 | | C2^2.42(C2^2xC3:S3) | 288,740 |
| C22.43(C22×C3⋊S3) = C62.228C23 | central stem extension (φ=1) | 144 | | C2^2.43(C2^2xC3:S3) | 288,741 |
| C22.44(C22×C3⋊S3) = C62.229C23 | central stem extension (φ=1) | 144 | | C2^2.44(C2^2xC3:S3) | 288,742 |
| C22.45(C22×C3⋊S3) = C62.69D4 | central stem extension (φ=1) | 144 | | C2^2.45(C2^2xC3:S3) | 288,743 |
| C22.46(C22×C3⋊S3) = C12⋊2Dic6 | central stem extension (φ=1) | 288 | | C2^2.46(C2^2xC3:S3) | 288,745 |
| C22.47(C22×C3⋊S3) = C62.233C23 | central stem extension (φ=1) | 288 | | C2^2.47(C2^2xC3:S3) | 288,746 |
| C22.48(C22×C3⋊S3) = C62.234C23 | central stem extension (φ=1) | 288 | | C2^2.48(C2^2xC3:S3) | 288,747 |
| C22.49(C22×C3⋊S3) = C62.238C23 | central stem extension (φ=1) | 144 | | C2^2.49(C2^2xC3:S3) | 288,751 |
| C22.50(C22×C3⋊S3) = C12⋊3D12 | central stem extension (φ=1) | 144 | | C2^2.50(C2^2xC3:S3) | 288,752 |
| C22.51(C22×C3⋊S3) = C62.240C23 | central stem extension (φ=1) | 144 | | C2^2.51(C2^2xC3:S3) | 288,753 |
| C22.52(C22×C3⋊S3) = C12.31D12 | central stem extension (φ=1) | 144 | | C2^2.52(C2^2xC3:S3) | 288,754 |
| C22.53(C22×C3⋊S3) = C62.242C23 | central stem extension (φ=1) | 144 | | C2^2.53(C2^2xC3:S3) | 288,755 |
| C22.54(C22×C3⋊S3) = C62⋊10Q8 | central stem extension (φ=1) | 144 | | C2^2.54(C2^2xC3:S3) | 288,781 |
| C22.55(C22×C3⋊S3) = C62.129D4 | central stem extension (φ=1) | 144 | | C2^2.55(C2^2xC3:S3) | 288,786 |
| C22.56(C22×C3⋊S3) = C62⋊19D4 | central stem extension (φ=1) | 144 | | C2^2.56(C2^2xC3:S3) | 288,787 |
| C22.57(C22×C3⋊S3) = C62.72D4 | central stem extension (φ=1) | 144 | | C2^2.57(C2^2xC3:S3) | 288,792 |
| C22.58(C22×C3⋊S3) = C62.254C23 | central stem extension (φ=1) | 144 | | C2^2.58(C2^2xC3:S3) | 288,793 |
| C22.59(C22×C3⋊S3) = C62⋊13D4 | central stem extension (φ=1) | 72 | | C2^2.59(C2^2xC3:S3) | 288,794 |
| C22.60(C22×C3⋊S3) = C62.256C23 | central stem extension (φ=1) | 144 | | C2^2.60(C2^2xC3:S3) | 288,795 |
| C22.61(C22×C3⋊S3) = C62⋊14D4 | central stem extension (φ=1) | 144 | | C2^2.61(C2^2xC3:S3) | 288,796 |
| C22.62(C22×C3⋊S3) = C62.258C23 | central stem extension (φ=1) | 144 | | C2^2.62(C2^2xC3:S3) | 288,797 |
| C22.63(C22×C3⋊S3) = C62.259C23 | central stem extension (φ=1) | 288 | | C2^2.63(C2^2xC3:S3) | 288,801 |
| C22.64(C22×C3⋊S3) = C62.261C23 | central stem extension (φ=1) | 144 | | C2^2.64(C2^2xC3:S3) | 288,803 |
| C22.65(C22×C3⋊S3) = C62.262C23 | central stem extension (φ=1) | 144 | | C2^2.65(C2^2xC3:S3) | 288,804 |
| C22.66(C22×C3⋊S3) = C62⋊24D4 | central stem extension (φ=1) | 72 | | C2^2.66(C2^2xC3:S3) | 288,810 |